Evaluate the Summation sum from k=1 to 5 of 6k

Problem

(∑_k=1^5)(6)*k

Solution

1. Identify the summation expression, which requires calculating the sum of the terms 6*k as the index k takes every integer value from 1 to 5

2. Expand the summation by substituting each value of k into the expression 6*k

6*(1)+6*(2)+6*(3)+6*(4)+6*(5)

3. Multiply each term to find the individual values.

6+12+18+24+30

4. Add the resulting values together to find the total sum.

6+12=18

18+18=36

36+24=60

60+30=90

Final Answer

(∑_k=1^5)(6)*k=90

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